Exponential stability of solutions to delay difference equations with periodic coefficients

G. V. Demidenko; D. S. Baldanov

doi:10.1007/978-3-030-38870-6_13

Exponential stability of solutions to delay difference equations with periodic coefficients

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Abstract

In the paper,we consider systems of linear delay difference equations with periodic coefficients. We establish sufficient conditions for the asymptotic stability of the zero solution to the systems and obtain estimates of the stabilization rate of solutions at infinity.When obtaining the resultsweuse a discrete analog ofLyapunov- Krasovskii functional.

Original language	English
Title of host publication	Continuum Mechanics, Applied Mathematics and Scientific Computing
Subtitle of host publication	Godunov's Legacy: A Liber Amicorum to Professor Godunov
Publisher	Springer International Publishing AG
Pages	93-100
Number of pages	8
ISBN (Electronic)	9783030388706
ISBN (Print)	9783030388690
DOIs	https://doi.org/10.1007/978-3-030-38870-6_13
Publication status	Published - 3 Apr 2020

OECD FOS+WOS

1.03 PHYSICAL SCIENCES AND ASTRONOMY
1.01 MATHEMATICS
2.05 MATERIALS ENGINEERING

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10.1007/978-3-030-38870-6_13

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author = "Demidenko, {G. V.} and Baldanov, {D. S.}",

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Exponential stability of solutions to delay difference equations with periodic coefficients. / Demidenko, G. V.; Baldanov, D. S.

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. p. 93-100.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

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AU - Baldanov, D. S.

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Exponential stability of solutions to delay difference equations with periodic coefficients

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